University of IsfahanTransactions on Combinatorics2251-865711320220901A short note on the topological decomposition of the central product of groups1231292635010.22108/toc.2022.130505.1908ENYangaBavumaDepartment of Mathematical Sciences, University of South Africa, P.O.Box 392, Pretoria, South Africa0000-0001-8991-6071Journal Article20210911It has been recently observed that a topological decomposition of the Pauli group, as central product of the quaternion group of order eight and the cyclic group of order four, influences some significant dynamical systems in mathematical physics. The connection between groups of symmetries and dynamical systems is in fact well known, but looking specifically at the algebraic and topological decompositions of the Pauli group, we find conditions for the existence of a Riemannian $3$-manifold whose fundamental group is epimorphically mapped onto a central product.https://toc.ui.ac.ir/article_26350_e41bc90d8c244e9ff092cab75e4a4ce3.pdf